Turning Points of Quadratics

Some quadratic expressions do not have roots. That is, ifthere may be no value offor which f(x)=0. On the otrher hand, every quadratic has a turning point. This is a simple consequence of the fact that the value ofthat defines the turning point is the solution toor 2ax+b=0 The x value of the turning point is then

The turning point may be either a maximum or a minimum, depending on the value of

Ifthe turning point is a minimum.

Ifthe turning point is a maximum.